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68295758208 = 2731372295669
BaseRepresentation
bin111111100110101111…
…101001000110000000
320112021122111222122020
4333212233221012000
52104332203230313
651212531041440
74635301236456
oct774657510600
9215248458566
1068295758208
1126a671a1a87
12112a0140280
136595344462
14343c5489d6
151b9abc0323
hexfe6be9180

68295758208 has 128 divisors (see below), whose sum is σ = 183565116000. Its totient is φ = 22496428032.

The previous prime is 68295758203. The next prime is 68295758257. The reversal of 68295758208 is 80285759286.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68295758203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12044398 + ... + 12050066.

Almost surely, 268295758208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68295758208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91782558000).

68295758208 is an abundant number, since it is smaller than the sum of its proper divisors (115269357792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68295758208 is a wasteful number, since it uses less digits than its factorization.

68295758208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 68295758208 in words is "sixty-eight billion, two hundred ninety-five million, seven hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 229 274 384 411 458 548 687 822 916 1096 1374 1644 1832 2192 2748 3288 3664 4384 5496 5669 6576 7328 8768 10992 11338 13152 14656 17007 17536 21984 22676 26304 29312 31373 34014 43968 45352 52608 62746 68028 87936 90704 94119 125492 136056 181408 188238 250984 272112 362816 376476 501968 544224 725632 752952 776653 1003936 1088448 1298201 1505904 1553306 2007872 2176896 2329959 2596402 3011808 3106612 3894603 4015744 4659918 5192804 6023616 6213224 7789206 9319836 10385608 12047232 12426448 15578412 18639672 20771216 24852896 31156824 37279344 41542432 49705792 62313648 74558688 83084864 99411584 124627296 149117376 166169728 177853537 249254592 298234752 355707074 498509184 533560611 711414148 1067121222 1422828296 2134242444 2845656592 4268484888 5691313184 8536969776 11382626368 17073939552 22765252736 34147879104 68295758208